> If you need any differential geometry, it is discrete differential geometry then
This is a bit oversimplified/exaggerated.
We need to use discrete bits in our representation for a computer, but our numbers can be the coefficients of continuous functions or relations (e.g. polynomials or trigonometric polynomials), and so it is possible to represent continuous functions to whatever precision we have compute resources to handle without “discretizing” per se.
This is a bit oversimplified/exaggerated.
We need to use discrete bits in our representation for a computer, but our numbers can be the coefficients of continuous functions or relations (e.g. polynomials or trigonometric polynomials), and so it is possible to represent continuous functions to whatever precision we have compute resources to handle without “discretizing” per se.